6 edition of Variational Problems in Riemannian Geometry found in the catalog.
May 14, 2004
by Birkhäuser Basel
Written in English
|Contributions||Paul Baird (Editor), Ahmad El Soufi (Editor), Ali Fardoun (Editor), Rachid Regbaoui (Editor)|
|The Physical Object|
|Number of Pages||148|
Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems/5(3). Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate and advanced undergraduate students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics. It is also an ideal resource for pure and applied mathematicians.
Riemannian Geometry by M. do Carmo is a great book that takes a variational approach, but I feel it is somewhat old-fashioned. Riemannian Geometry by Peter Petersen is another great book that takes a very modern approach and contains some specialized topics like convergence theory. Get this from a library! Some Nonlinear Problems in Riemannian Geometry. [Thierry Aubin] -- During the last few years, the field of nonlinear problems has undergone great development. This book, the core of which is the content of the author's earlier book (Springer-Verlag ), updated.
It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. This sixth edition contains a deeper study of the spectrum of the Laplace operator and its relation to the geometry of the underlying Riemannian manifold.” (M. Kunzinger, Monatshefte für Mathematik, Vol. (), September, ) “The present book is the sixth edition of the author’s textbook on Riemannian geometry and geometric analysis.
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Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows Emmanuel Hebey (auth.), Paul Baird, Ali Fardoun, Rachid Regbaoui, Ahmad El Soufi (eds.) This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric.
Variational Problems in Riemannian Geometry Bubbles, Scans and Geometric Flows Editors: Baird, P., El Soufi, A., Fardoun, A., Regbaoui, R. (Eds.). Part of the Progress in Nonlinear Differential Equations Variational Problems in Riemannian Geometry book Their Applications book series (PNLDE, volume 59) Log in to check access.
Buy eBook. USD Differential geometry Finsler geometry Nonlinear partial differential equations Ricci flow Riemannian geometry Variational problems curvature partial differential equation.
Editors. Variational Problems in Riemannian Geometry by Paul Baird,available at Book Depository with free delivery worldwide. Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows Author: Paul Baird, Ali Fardoun, Rachid Regbaoui, Ahmad El Soufi Published by Birkhäuser Basel ISBN: DOI: / Table of Contents: Bubbles over Bubbles: A C Application of Scans and Fractional Power Integrands.
The last two chapters treat the variational problem on the energy of maps between two Riemannian manifolds and its solution, harmonic maps. The concept of a harmonic map includes geodesics and minimal submanifolds as examples.
Its existence and properties have successfully been applied to various problems in geometry and topology. Some Nonlinear Problems in Riemannian Geometry Thierry Aubin This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods.
It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational.
Volume 1presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian. Carbonaro, G. Mauceri, A note on bounded variation and heat semigroup on Riemannian manifolds, Bull.
Austral. Math. Soc. 76 () ; B. Güneysu, D. Pallara, Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from.
During the last few years, the field of nonlinear problems has undergone great book, the core of which is the content of the author's earlier book (Springer-Verlag ), updated and extended in each chapter, and augmented by several completely new chapters, deals with some important geometric problems that have only recently been solved or partially been solved.
The theory of Riemannian spaces. A Riemannian space is an -dimensional connected differentiable manifold on which a differentiable tensor field of rank 2 is given which is covariant, symmetric and positive definite.
The tensor is called a metric tensor. Riemannian geometry is a multi-dimensional generalization of the intrinsic geometry (cf. Interior geometry) of two-dimensional. Variational Problems In Riemannian Geometry: Bubbles, Scans And Geometric Flows, Hardcover by Baird, Paul (EDT); El Soufi, Ahmad (EDT); Fardoun, Ali (EDT); Regbaoui, Rachid (EDT), ISBNISBNBrand New, Free shipping in the USSeller Rating: % positive.
variational approaches which allow one to overcome such a problem (see the book  or the survey ): (a) to transform the indeﬁnite problem on a Lorentzian manifold in a subtler (hopefully bounded from below) problem on a Riemannian manifold; (b) to study directly the strongly indeﬁnite functional f but by making use of.
Method of moving frames integration of systems of Pfaffian differential equations the fundamental theorem of metric geometry tensor analysis locally Euclidean Riemannian manifolds osculating Euclidean space Riemannian curvature of a manifold variational problems for geodesics geodesic surfaces lines in a Riemannian manifold forms of Laguerre and Darboux and other papers.
Chapter 6 (58 pages) is concerned with "invariant problems in the calculus of variations". Chapter 7 (59 pages) introduces Riemannian geometry. This includes Finsler spaces and Riemannian and pseudo-Riemannian spaces.
Topics include geodesics, Riemannian curvature tensor properties in the presence of a metric, and a divergence theorem for Reviews: It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.
From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some. Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature,) andobjectives,inparticularto understand certain classes of (compact) Riemannian manifolds de?ned by curvature conditions (constant or positive or negative curvature,).
Bywayofcontrast,g- metric analysis is a perhaps somewhat less systematic collection of 4/5(1). In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics.
InSergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal s: 2. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics.
InSergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal : $. Variational Problems in Riemannian Geometry的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。.geodesic problem variational aspect sub-riemannian geometry normal extremizers critical point local geometry different proof linear constraint fails horizontal curve abnormal extremizers lagrangian multiplier global distance sub-riemannian action general .Riemannian Geometry and Geometric Analysis: Edition 5 - Ebook written by Jürgen Jost.
Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Riemannian Geometry and .